This work is devoted to study a doubly non linear elliptic-parabolic problem with quadratic gradient term by Rothe's method. We investigate the long time behavior of the solution to the discrete problem and prove the existence of compact global attractor. Our method relays on sem...
Open access
Research Article10.9734/BJMCS/2014/8392
We use tensor product to introduce a new approach to the theory of integration. Such an approach will strengthen the existing various classical concepts of integral and will provide a continuous thread tying the subject matter together. The integral of vector-valued functions wit...
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Research Article10.9734/BJMCS/2014/12274
A general system of ordinary differential equations that appear in neural network theory is studied. We consider nonlinear activation functions which have not been treated in the literature so far. Namely, we assume that the nonlinear activation functions are continuous functions...
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Research Article10.9734/BJMCS/2014/12361
In this note, the quasicontinuity of a dcpo and its principal ideals/filters are considered. It is shown that every principal ideal, as a subposet, in a quasicontinuous domain is also a quasicontinuous domain. A dcpo is quasicontinuous if every principal ideal is quasicontinuous...
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Research Article10.9734/BJMCS/2014/12840
Using a theorem closely linked to Fermat's Last Theorem, and borrowing some simple ideas from topology, I formulate a simple short proof of Fermet's Last Theorem.
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Research Article10.9734/BJMCS/2014/12041
The dispersive long wave (DLW) equations are very important coupled nonlinear partial differential equations that appear for describing nonlinear water wave model in harbor and coastal design. In this paper, the exp(-Φ(ξ))-expansion method has been implemented to find the explici...
Open access
Research Article10.9734/BJMCS/2014/13129
Incidence response and handling has become quite a crucial, indispensible constituent of information technology security management, as it provides an organised way of handling the aftermaths of a security breach. It presents an organisation’s reaction to illegitimate and unaccep...
Open access
Research Article10.9734/BJMCS/2014/11874
In this paper, we study the iterated application of the Binomial transform, the k–Binomial transform, the Rising k–Binomial transform, and the Falling k–Binomial transform to the k–Fibonacci sequence. In particular, we obtain the recurrence relation between the terms of the seque...
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Research Article10.9734/BJMCS/2014/11783
A new approach of the Mickens’ extended iteration method has been presented to obtain approximate analytic solutions of some nonlinear jerk equations. There has been shown that the partial derivatives of integral functions are valid for modified extended iteration method in each...
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Research Article10.9734/BJMCS/2014/11700
Aims/ Objectives: In this article we construct a mathematical/topological framework for comprehending fundamental concepts in Plato's theory of Forms; specically the dual processes of: 1. The participation/partaking-methexis of the many particulars predicated as F to the Form-ess...
Open access
Research Article10.9734/BJMCS/2014/12591